Quadratic and Cubic SequencesDeduce expressions to calculate the nth term of quadratic and cubic sequences. 
This is level 3; Quadratic sequences of the form an^{2} + bn + c. You can earn a trophy if you get at least 5 questions correct.
InstructionsTry your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help. When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file. 




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Level 1  Quadratic sequences of the form n^{2} + c
Level 2  Quadratic sequences of the form an^{2} + c
Level 3  Quadratic sequences of the form an^{2} + bn + c
Level 4  Quadratic sequence problem solving
Level 5  Cubic sequences of the form an^{3} + bn^{2} + cn + d
Exam Style questions are in the style of GCSE exam paper questions and worked solutions are available for Transum subscribers.
Handshakes  Try this lesson Starter which can generate a quadratic number sequence.
More on this topic including lesson Starters, visual aids, investigations and selfmarking exercises.
This video explains how to find the nth term of a quadratic sequence and is from Mr Hegarty.
A shorter, concise method is shown here.
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Thursday, January 20, 2022
"Have you seen the Leapfrog investigation? It's a challenge to find the minimum number of moves to swap the positions of the blue and green frogs by encouraging them to leap from one lily pad to another. The investigation will reveal a quadratic sequence but can you find the rule for the n^{th} term? The investigation has been cunningly named Leapfrog. Have a look!"